Farey boat: continued fractions and triangulations, modular group and polygon dissections

DOI10.1365/s13291-019-00197-7zbMath1437.11097arXiv1811.01229OpenAlexW2962756685MaRDI QIDQ2418022

Valentin Ovsienko, Sophie Morier-Genoud

Publication date: 31 May 2019

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.01229

zbMATH Keywords

modular groupcontinued fractionsPfaffiansFarey graphpolygon dissectionsPtolemy rule

Mathematics Subject Classification ID

History of number theory (11-03) Continued fractions and generalizations (11J70) Continued fractions (11A55)

Related Items

Combinatorics of congruence subgroups of the modular group. II ⋮ Euler continuants in noncommutative quasi-Poisson geometry ⋮ On parabolic and elliptic elements of the modular group ⋮ Classifying 𝑆𝐿₂-tilings ⋮ Quantum numbers and \(q\)-deformed Conway-Coxeter friezes ⋮ Continuant, Chebyshev polynomials, and Riley polynomials ⋮ On q-Deformed Real Numbers ⋮ Counting quiddities of polygon dissections ⋮ Quantum continuants, quantum rotundus and triangulations of annuli ⋮ Some elements of combinatorics of \(\mathrm{SL}_2 (\mathbb{Z})\) matrices ⋮ \(q\)-deformations in the modular group and of the real quadratic irrational numbers ⋮ -DEFORMED RATIONALS AND -CONTINUED FRACTIONS ⋮ FRIEZE PATTERNS WITH COEFFICIENTS ⋮ Combinatorics of congruence subgroups of the modular group ⋮ Critical curves of a piecewise linear map

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